1993
DOI: 10.1016/0020-7683(93)90028-6
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Quasi-static crack growth in materials displaying the Bauschinger effect—I. Steady-state analysis

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Cited by 2 publications
(9 citation statements)
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“…It can be observed that the material particle is in a stress-free state when it lies at an infinite distance ahead of the crack tip (0 = 0), it experiences almost proportional loading before = 7r/4, then it suffers a strongly non proportional stress history and, finally, it approaches a finite value of stress at infinite distance behind the crack tip, for 0 = 7r (this tendency to a finite value of stress on the crack flanks is clearly elucidated in [19], and the same arguments apply in the present context). If we consider that our asymptotic solution is known except for an amplitude factor, Figure 9 shows impressive agreement with the numerical finite element results of [15] (their Figure 4).…”
Section: Resultssupporting
confidence: 60%
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“…It can be observed that the material particle is in a stress-free state when it lies at an infinite distance ahead of the crack tip (0 = 0), it experiences almost proportional loading before = 7r/4, then it suffers a strongly non proportional stress history and, finally, it approaches a finite value of stress at infinite distance behind the crack tip, for 0 = 7r (this tendency to a finite value of stress on the crack flanks is clearly elucidated in [19], and the same arguments apply in the present context). If we consider that our asymptotic solution is known except for an amplitude factor, Figure 9 shows impressive agreement with the numerical finite element results of [15] (their Figure 4).…”
Section: Resultssupporting
confidence: 60%
“…The results obtained are consistent with the finite element simulation of mode III crack growth of Narasimhan et al [ 15] and show that the kinematical component of hardening plays an important role on the crack-tip field. Among other effects of the hardening anisotropy, we note that the solution tends to a solution corresponding to a crack steadily propagating in an elastic medium in the limiting case of pure kinematic hardening.…”
Section: Introductionsupporting
confidence: 80%
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